Question

the graph shows the low and high temperatures each day in a city for two weeks.
the line of best fit for the data is about $y = 0.92x + 15$.
which high temperature would most likely occur on a day when the low temperature is $50 \\, ^\circ\text{f}$?
\\( \bigcirc \\) a. $38 \\, ^\circ\text{f}$ \\( \bigcirc \\) b. $53 \\, ^\circ\text{f}$
\\( \bigcirc \\) c. $57 \\, ^\circ\text{f}$ \\( \bigcirc \\) d. $61 \\, ^\circ\text{f}$
\\( \bigcirc \\) e. $65 \\, ^\circ\text{f}$

Explanation:

Step1: Identify the formula

The line of best fit is given by \( y = 0.92x + 15 \), where \( x \) is the low temperature and \( y \) is the high temperature.

Step2: Substitute \( x = 50 \) into the formula

Substitute \( x = 50 \) into \( y = 0.92x + 15 \):

$$
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$$

Wait, that's not matching. Wait, maybe I made a mistake. Wait, let's recalculate: \( 0.92 \times 50 = 46 \), then \( 46 + 15 = 61 \). But let's check the options. Option D is 61°F. Wait, but let's check again. Wait, maybe the formula is \( y = 0.92x + 15 \). So \( x = 50 \), so \( y = 0.92*50 +15 = 46 +15 = 61 \). So the answer should be D. 61°F. Wait, but let's check the graph. The graph shows a positive correlation. When x is 50, the y should be around 61? Wait, maybe my calculation is correct. So the high temperature when low is 50°F is 61°F.

Answer:

D. 61 °F